If you have dozens a day, you may want to switch to an instrumental method -- HPLC or GC. If you have a few a day, your technique will improve with practice. If this were a pharmacopeia method, you wouldn't be allowed to deviate without validating. If this is an ASTM method, likewise, the accreditation of your results depends on you not changing methods. If you've set this method up yourself, well, you can do anything you want, but your accuracy depends on your ability to develop and validate the method.
Simply put, I can see no chemical way to remove hydrochloric acid, and not effect stearic acid. No reagent is selective for one and not the other. There are acid absorbing resins, but they will likewise affect the stearic acid.
And I still have no idea of the limitations of your technique. You have to tell me something about your validation process. If you dissolve 0.03 g of chemically pure stearic acid in solvent, add 10 ml conc. HCl, and wash four times with water, and then titrate to measure the stearic acid,, you should calculate a number, and it should match 0.03 g stearic acid. If you do this 10 times, your relative standard deviation should be less than 2%. If another worker in your facility does it, they should also get less than 2% deviation, and your 20 results should also have less than 2% deviation. If you deliberately make the stearic acid 0.036 and 0.024g, then you should get those results 5 or more trials with 2% or less standard deviation, otherwise your method isn't a good one. Your manager should look at all of these results and say, "This method can be relied on for good results." This is a basic method validation. Has this process been done before? If not then what you're doing isn't analytical chemistry.